120221012000 has 48 divisors (see below), whose sum is σ = 295383036312. Its totient is φ = 48088403200.

The previous prime is 120221011987. The next prime is 120221012003. The reversal of 120221012000 is 210122021.

It is a happy number.

120221012000 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 37895630224 + 82325381776 = 194668^2 + 286924^2 .

It is a super-3 number, since 3×120221012000³ (a number of 34 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (120221012003) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 15023627 + ... + 15031626.

Almost surely, 2^120221012000 is an apocalyptic number.

120221012000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

120221012000 is an abundant number, since it is smaller than the sum of its proper divisors (175162024312).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

120221012000 is an equidigital number, since it uses as much as digits as its factorization.

120221012000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 30055278 (or 30055260 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 11.

Adding to 120221012000 its reverse (210122021), we get a palindrome (120431134021).

The spelling of 120221012000 in words is "one hundred twenty billion, two hundred twenty-one million, twelve thousand".